EXAMPLE 2 Test the series In(4k) 3k SOLUTION We used the Integral Test to test this series in this example, but we can also test it by comparing it with the harmonic series. Observe that In(4k) > 1 for k≥ 3/4 and so k≥ 3/4. ? ♥ 00 Σ k = 1 1 3k In(4k) for convergence or divergence. 3k We know Σ 1/(3k) is divergent (p-series with p = the given series is|---Select--- by the Comparison Test. Thus

Q: X~N(40,?2) and P(X>50) = 0.119. Find the value of ?.

A: From the provided information, Mean (µ) = 40 Variance = σ2 X~N (40, σ2)

Q: Evaluate f(3x +4³ +4 sin(7x))de

A: Using definite integral we have

Q: Find the distance between (0,0) and (9, 12). The distance is units.

A:

Q: Solve the formula for s. 1 m=f+d+_s 6

A:

Q: The correct solution of Section 10.2 Exercises Problem 14 on Page 655 is dy et d²y dx dx² = 2t 2 =…

A: We have to find the (dy)/(dx)And double derivatives

Q: Two poles are connected by a wire anchored to the ground somewhere bet them One pole is 10 feet tall…

A: To minimize the amount of wire needed, the wire should be anchored at a point that forms a right…

Q: Carry out the following calculation, paying special attention to significant figures (where 4/3 is…

A:

Q: A 13 foot ladder is leaning against of a building. The bottom is sliding towards the building at…

A:

Q: A spaceship is traveling directly away from earth with speed 412 +4 km/s. At time t = 0 s it is 500…

A: Given data:*The speed of the spaceship is v=4t2+4 km/s.*The position of the spaceship from the earth…

Q: (d) When is the next time that this height is reached again?

A:

Q: 5. For the functions f (x) x²+1 and g(x) = Vx +2 , simplify the composition x²-2 f (g(x)) and state…

A: We are solving the first question and for the next question post the question again and also mention…